Hypergeometric mean and variance

`[MN,V] = hygestat(M,K,N)`

`[MN,V] = hygestat(M,K,N)`

returns
the mean of and variance for the hypergeometric distribution with
corresponding size of the population, `M`

, number
of items with the desired characteristic in the population, `K`

,
and number of samples drawn, `N`

. Vector or matrix
inputs for `M`

, `K`

, and `N`

must
have the same size, which is also the size of `MN`

and `V`

.
A scalar input for `M`

, `K`

, or `N`

is
expanded to a constant matrix with the same dimensions as the other
inputs.

The mean of the hypergeometric distribution with parameters `M`

, `K`

,
and `N`

is `NK/M`

, and the variance
is `NK(M-K)(M-N)/[M^2(M-1)]`

.

The hypergeometric distribution approaches the binomial distribution,
where `p = K/M`

, as `M`

goes to
infinity.

[m,v] = hygestat(10.^(1:4),10.^(0:3),9) m = 0.9000 0.9000 0.9000 0.9000 v = 0.0900 0.7445 0.8035 0.8094 [m,v] = binostat(9,0.1) m = 0.9000 v = 0.8100

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